Question

Military intelligence units are often responsible for intercepting and deciphering coded messages used by enemy forces. In this type of work, time is critically important. Recently, the army compared two methods of deciphering coded messages Two special agents randomly assigned 49 randomly selected messages to two groups, and used identical computers to decode the messages. One of them used Deciphermatic (sample 1) to decode 24 messages and the other used QuickDecipher (sample 2) to decode 25 messages. The means and standard deviations for the time required by the computer, in minutes to decode the messages are given in the Minitab output below Does this sample provide evidence that there is a difference in the two methods of deciphering messages (with respect to time required to decode)? Two-Sample T-Test and CI Sample Mean StDev SE Mean 24 37.48 8.16 25 31.02 3.68 1.7 0.74 Differencemu (1)-mu (2) Estimate for difference: 6.46 95% CI for diffe rence: (2.75, 10.17) T-Te ?tof difference-0 (vs not-): 1-Value= 3.55 P-Value-0.001 Dpe31 Verify that the assumptions and conditions are met, allowing us to use two-sample t-methods to answer these questions. State both the assumption and condition(s), and explain in context

Answer 1